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article

Robust optimal control using conditional risk mappings in infinite horizon

Kerem Uğurlu

Journal of Computational and Applied Mathematics > 2018 > 344 > C > 275-287

We use one-step conditional risk mappings to formulate a risk averse version of a total cost problem on a controlled Markov process in discrete time infinite horizon. The nonnegative one step costs are assumed to be lower semi-continuous but not necessarily bounded. We derive the conditions for the existence of the optimal strategies and solve the problem explicitly by giving the robust dynamic programming...

article

Numerical solution of Volterra–Fredholm integral equations using the collocation method based on a special form of the Müntz–Legendre polynomials

Neda Negarchi, Kazem Nouri

Journal of Computational and Applied Mathematics > 2018 > 344 > C > 15-24

This paper presents a computational technique based on a special family of the Müntz–Legendre polynomials to solve a class of Volterra–Fredholm integral equations. The relationship between the Jacobi polynomials and Müntz–Legendre polynomials, in a particular state, are expressed. The proposed method reduces the integral equation into algebraic equations via the Chebyshev–Gauss–Lobatto points, so...

article

A study of dynamics via Möbius conjugacy map on a family of sixth-order modified Newton-like multiple-zero finders with bivariate polynomial weight functions

Young Hee Geum, Young Ik Kim, Á. Alberto Magreñán

Journal of Computational and Applied Mathematics > 2018 > 344 > C > 608-623

A generic family of sixth-order modified Newton-like multiple-zero finders have been proposed in Geum et al. (2016). Among them we select a specific family of iterative methods with uniparametric bivariate polynomial weight functions and study their dynamics by investigating the relevant parameter spaces and dynamical planes, via Möbius conjugacy map applied to a prototype polynomial of the form ...

article

Effects of soil macro- and mesofauna on litter decomposition and soil organic matter stabilization

Jan Frouz

Geoderma > 2018 > 332 > C > 161-172

Soil fauna consumes substantial amounts of litter and can even consume the entire annual litterfall in some ecosystems. The assimilation efficiency of fauna may reach 50% but is usually much smaller. Soil fauna may affect soil organic matter (SOM) dynamics not only by assimilating litter but also by modifying the soil environment at many spatiotemporal scales. Litter processing by fauna usually results...

article

Stabilizing effects on a Cd polluted coastal wetland soil using calcium polysulphide

Chen Tu, Feng Guan, Yuhuan Sun, Pengpeng Guo, more

Geoderma > 2018 > 332 > C > 190-197

In this study, different dosages of calcium polysulphide (CaS_x) were used as an amendment to investigate effects on the immobilizing of Cd in a wetland soil by pot experiment. In addition to chemical analysis (pH and bioavailable Cd concentration), changes in soil enzyme activities, microbial carbon utilization capacity, metabolic and community diversity were examined to assess dynamic impacts on...

article

An efficient LDU algorithm for the minimal least squares solution of linear systems

I. Fernández de Bustos, V. García-Marina, G. Urkullu, M. Abasolo

Journal of Computational and Applied Mathematics > 2018 > 344 > C > 346-355

The minimal least squares solutions is a topic of interest due to the broad range of applications of this problem. Although it can be obtained from other algorithms, such as the Singular Value Decomposition (SVD) or the Complete Orthogonal Decomposition (COD), the use of LDU factorizations has its advantages, namely the computational cost and the low fill-in that can be obtained using this method...

article

Parallel space–time h p adaptive discretization scheme for parabolic problems

M. Łoś, R. Schaefer, M. Paszyński

Journal of Computational and Applied Mathematics > 2018 > 344 > C > 819-835

We introduce an integration scheme for parabolic problems. Our parallelizable method uses adaptive h p -finite elements in space, and finite differences in time. The strategy can also be combined with a classical finite element method parallelization technique based on domain decomposition. We verified the performance of our method against two different benchmarks, in both two-dimensional (model...

article

Quantity-intensity relations of potassium in representative coastal soils of eastern India

Ranajit Panda, S.K. Patra

Geoderma > 2018 > 332 > C > 198-206

Quantity-intensity (Q/I) isotherms were used to evaluate the dynamics of K⁺ in twelve coastal soils of eastern India. The activity ratio of K⁺ (AR_e^K) and corresponding changes in labile K⁺ (±∆K) at equilibrium increased with increasing K⁺ concentrations. The equilibrium activity ratio of K⁺ (AR_e^0K) varied between 0.09 × 10⁻³ and 7.50 × 10⁻³ (mol L⁻¹)^1/2. The labile K⁺ (K_L) ranged from 0.265 to 0.4 cmol kg...

article

A fast numerical algorithm for a basic dual integral equation of the flapping wing in a flow of non-viscous incompressible fluid

V.V. Popuzin, M.A. Sumbatyan, A.E. Tarasov

Journal of Computational and Applied Mathematics > 2018 > 344 > C > 457-472

The present paper proposes a new approach to the classical problem of the harmonic oscillations of a thin wing in a flow of non-viscous incompressible fluid. The problem is reduced to a dual integral equation, permitting application of numerical methods. The numerical experiments are performed by using some advanced fast non-stationary iterative methods, with the help of the two-dimensional Fast Fourier...

article

Mapped CWENO scheme for hyperbolic conservation laws

Cong Huang, Rong Wang

Journal of Computational and Applied Mathematics > 2018 > 344 > C > 229-244

In this paper, we analysis the Central Weighted Essentially Non-Oscillatory (CWENO) scheme for hyperbolic conservation laws (Qiu and Shu, 2002). The CWENO procedure contains three major steps: the reconstruction of u ̄ i + 1 ∕ 2 n from u ̄ i n , the reconstruction of u i n from u ̄ i n , and the approximation of ∫ t n t n +...

article

Adaptive numerical approach based upon Chebyshev operational vector for nonlinear Volterra integral equations and its convergence analysis

K. Maleknejad, R. Dehbozorgi

Journal of Computational and Applied Mathematics > 2018 > 344 > C > 356-366

In the current paper, we present a direct numerical scheme to approximate a second-kind nonlinear Volterra integral equations (NVIEs). The scheme is based upon shifted Chebyshev polynomials and its operational matrices which eventually leads to the sparsity of the coefficients matrix of obtained system. The main idea of the proposed approach is based on a useful property of Chebyshev polynomials that...

article

Rapid generalized Schultz iterative methods for the computation of outer inverses

Marko D. Petković, Mihailo A. Krstić, Kostadin P. Rajković

Journal of Computational and Applied Mathematics > 2018 > 344 > C > 572-584

We present a general scheme for the construction of new efficient generalized Schultz iterative methods for computing the inverse matrix and various matrix generalized inverses. These methods have the form X k + 1 = X k p ( A X k ) , where A is m × n complex matrix and p ( x ) is a polynomial. The construction procedure is general and can be applied to any number of matrix...

article

On approximate inverse of Hermite and Laguerre collocation differentiation matrices and new collocation schemes in unbounded domains

Chao Zhang, Li-Lian Wang, Dongqin Gu, Wenjie Liu

Journal of Computational and Applied Mathematics > 2018 > 344 > C > 553-571

In this paper, we provide an explicit, stable and fast means to compute the approximate inverse of Hermite/Laguerre collocation differentiation matrices, and also the approximate inverse of the Hermite/Laguerre collocation matrices of a second-order differential operator. The latter offers optimal preconditioners for developing well-conditioned Hermite/Laguerre collocation schemes. We apply the new...

article

Type I multivariate zero-truncated/adjusted Poisson distributions with applications

Guo-Liang Tian, Yin Liu, Man-Lai Tang, Xuejun Jiang

Journal of Computational and Applied Mathematics > 2018 > 344 > C > 132-153

Although there is substantial literature on the univariate zero-truncated Poisson (ZTP) distributions, few works have been done for developing multivariate ZTP distributions with dimension larger than two. In this paper, we first propose a new Type I multivariate ZTP distribution to model multivariate zero-truncated count data and develop its important distributional properties, while providing efficient...

article

Interactions between earthworms and mesofauna affect CO2 and N2O emissions from soils under long-term conservation tillage

Xinyu Zhu, Liang Chang, Jiujia Li, Jie Liu, more

Geoderma > 2018 > 332 > C > 153-160

Soil carbon dioxide (CO₂) and nitrous oxide (N₂O) emissions contribute significantly to global warming. Studies have shown that soil fauna can significantly affect greenhouse gas emissions. To date, although there were some studies on the effect of interactions of soil fauna on soil CO₂ and N₂O emissions, the role of soil fauna on CO₂ and N₂O emissions is far from settled, especially for a wide variety...

article

Symmetric trigonometrically-fitted two-step hybrid methods for oscillatory problems

Jiyong Li, Xianfen Wang, Shuo Deng, Bin Wang

Journal of Computational and Applied Mathematics > 2018 > 344 > C > 115-131

In this paper, we propose a general class of trigonometrically-fitted two-step hybrid (TFTSH) methods for solving numerically oscillatory second-order initial value problems. The TFTSH methods integrate exactly the differential system whose solutions can be expressed as the linear combinations of functions from the set { exp ( i w t ) , exp ( − i w t ) } or equivalently the set { cos (...

article

Editorial: Algorithmic Aspects of High-Performance Computing for Mechanics and Physics

Victor Calo, Santiago Badia, Javier Principe

Journal of Computational and Applied Mathematics > 2018 > 344 > C > 739

article

A new weak Galerkin finite element scheme for general second-order elliptic problems

Guanrong Li, Yanping Chen, Yunqing Huang

Journal of Computational and Applied Mathematics > 2018 > 344 > C > 701-715

A new weak Galerkin (WG) finite element scheme is presented for general second-order elliptic problems in this paper. In this new scheme, a skew symmetric form has been used for handling the convection term. The advantage of the new scheme is that the system of linear equations from the scheme is positive definite and one might easily get the well-posedness of the system. In this scheme, the WG elements...

article

Influence of soil properties and feedstocks on biochar potential for carbon mineralization and improvement of infertile soils

Ali El-Naggar, Sang Soo Lee, Yasser Mahmoud Awad, Xiao Yang, more

Geoderma > 2018 > 332 > C > 100-108

The impact of biochar (BC) application on soil varies with BC feedstock and soil type. The objective of this study was to investigate the linkage between the properties and surface functionality of various BCs and their role in the rehabilitation of two infertile soils. Sandy loam (SL) and sandy (S) soils were collected from agricultural areas in Korea and Vietnam, respectively. The BCs of amur silvergrass...

article

Comparison of diffusive gradients in thin-films (DGT) and chemical extraction methods for predicting bioavailability of antimony and arsenic to maize

Suhuan Zhang, Ying Wang, Aneesa Pervaiz, Linghao Kong, more

Geoderma > 2018 > 332 > C > 1-9

Antimony (Sb) and arsenic (As) are hazardous metalloids that cause much attention. Assessing the bioavailability is essential for understanding the potential risk and toxicity of Sb and As in soils. In this study, a set of methods were tested to assess the bioavailability of Sb and As to field/potted maize. Twelve soils, 7 maize (Zea mays L.) samples and corresponding root soils were collected from...

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Robust optimal control using conditional risk mappings in infinite horizon

Numerical solution of Volterra–Fredholm integral equations using the collocation method based on a special form of the Müntz–Legendre polynomials

A study of dynamics via Möbius conjugacy map on a family of sixth-order modified Newton-like multiple-zero finders with bivariate polynomial weight functions

Effects of soil macro- and mesofauna on litter decomposition and soil organic matter stabilization

Stabilizing effects on a Cd polluted coastal wetland soil using calcium polysulphide

An efficient LDU algorithm for the minimal least squares solution of linear systems

Parallel space–time h p adaptive discretization scheme for parabolic problems

Quantity-intensity relations of potassium in representative coastal soils of eastern India

A fast numerical algorithm for a basic dual integral equation of the flapping wing in a flow of non-viscous incompressible fluid

Mapped CWENO scheme for hyperbolic conservation laws

Adaptive numerical approach based upon Chebyshev operational vector for nonlinear Volterra integral equations and its convergence analysis

Rapid generalized Schultz iterative methods for the computation of outer inverses

On approximate inverse of Hermite and Laguerre collocation differentiation matrices and new collocation schemes in unbounded domains

Type I multivariate zero-truncated/adjusted Poisson distributions with applications

Interactions between earthworms and mesofauna affect CO2 and N2O emissions from soils under long-term conservation tillage

Symmetric trigonometrically-fitted two-step hybrid methods for oscillatory problems

Editorial: Algorithmic Aspects of High-Performance Computing for Mechanics and Physics

A new weak Galerkin finite element scheme for general second-order elliptic problems

Influence of soil properties and feedstocks on biochar potential for carbon mineralization and improvement of infertile soils

Comparison of diffusive gradients in thin-films (DGT) and chemical extraction methods for predicting bioavailability of antimony and arsenic to maize

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